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Finding the Fourth Proportional to 31,825.22, 47,721.50 and 16,840.42

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Solution

The fourth proportional to 31,825.22, 47,721.50 and 16,840.42 is: 25,251.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,825.22 : 47,721.50 = 16,840.42 : x
  2. Step 2: Convert to fraction form
    31,825.22/47,721.50 = 16,840.42/x
  3. Step 3: Cross multiply
    31,825.22x = 47,721.50 × 16,840.42
  4. Step 4: Simplify right side
    31,825.22x = 803,650,103.03
  5. Step 5: Solve for x
    x = 803,650,103.03/31,825.22
  6. Step 6: Final answer
    x = 25,251.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.